Let A = ajao and B = b1bo be two-bit binary numbers. A and B can take on values from 0 to 3 (for example, A = a two bit binary number whose value equals the magnitude of the difference A – B. We have C = c¡co = |A – B|. (This means that if B is larger than A then you consider B-A.) You are to design a circuit which accepts A and B (i.e., a¡ ɑob¡bo) as inputs and outputs the result C = c1co. The circuit thus has four inputs and two outputs. For example, the circuit should output cjco = 10 when aj ao = 01 and bībo = 11 (C 2 when aj ao = 10. Let C be - = 2 when A = 1 and B = 3). Your pre-lab needs to include all items requested in the following steps (plus those requested in the pre-lab handout): 1. After reading through the complete lab, write a description of the expected behavior of the system you will design. 2. Draw a truth table describing the behavior of the circuit. The truth table should show the inputs: aj aobibo (in this order) and the outputs: c1c0. 3. Write the canonical SOP or POS expression for the function c1. Calculate the cost for the function. Explain your choice of SOP or POS.

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Let A = ajao and B = b¡bo be two-bit binary
numbers. A and B can take on values from 0 to 3
(for example, A = 2 when a1ao = 10. Let C be
a two bit binary number whose value equals the
magnitude of the difference A – B. We have
C = c1c0 = |A – B|. (This means that if B is
larger than A then you consider B-A.) You are to
design a circuit which accepts A and B (i.e.,
a¡ aob¡bo) as inputs and outputs the result
C = c¡c0. The circuit thus has four inputs and
two outputs. For example, the circuit should
output c1co = 10 when ajao = 01 and
bibo = 11 (C = 2 when A = 1 and B = 3).
-
Your pre-lab needs to include all items requested
in the following steps (plus those requested in the
pre-lab handout):
1. After reading through the complete lab,
write a description of the expected behavior
of the system you will design.
2. Draw a truth table describing the behavior
of the circuit. The truth table should show
the inputs: aj aobibo (in this order) and the
outputs: c1Co ·
3. Write the canonical SOP or POS expression
for the function c1. Calculate the cost for
the function. Explain your choice of SOP or
POS.
Transcribed Image Text:Let A = ajao and B = b¡bo be two-bit binary numbers. A and B can take on values from 0 to 3 (for example, A = 2 when a1ao = 10. Let C be a two bit binary number whose value equals the magnitude of the difference A – B. We have C = c1c0 = |A – B|. (This means that if B is larger than A then you consider B-A.) You are to design a circuit which accepts A and B (i.e., a¡ aob¡bo) as inputs and outputs the result C = c¡c0. The circuit thus has four inputs and two outputs. For example, the circuit should output c1co = 10 when ajao = 01 and bibo = 11 (C = 2 when A = 1 and B = 3). - Your pre-lab needs to include all items requested in the following steps (plus those requested in the pre-lab handout): 1. After reading through the complete lab, write a description of the expected behavior of the system you will design. 2. Draw a truth table describing the behavior of the circuit. The truth table should show the inputs: aj aobibo (in this order) and the outputs: c1Co · 3. Write the canonical SOP or POS expression for the function c1. Calculate the cost for the function. Explain your choice of SOP or POS.
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