(a) Consider the following logic circuit with inputs A, B, C and D. (i) Derive the Boolean expressions algebraically for T1 through T4. Derive F1…

(a) Consider the following logic circuit with inputs A, B, C and D.

(i) Derive the Boolean expressions algebraically for T1 through T4. Derive F1 and F2 as functions of the four inputs A, B, C and D.

(ii) Use K-maps to simplify the expressions F1 and F2, and show that they are equivalent to the ones obtained in (i).

(b) Represent −25 in 8-bit binary using 2’s complement.

(c) Compare the TTL and CMOS logic families in terms of (i) speed, (ii) noise and (iii) power consumption.

From the BPSC Assistant Director (ICT) May 2025 – Written exam, question 2 of 9.

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