Use K mapping to obtain the expression of Example 4-8. This should emphasize the advantage of K mapping for expressions containing many terms.

Data from Example 4-8

Refer to Figure 4-8(a), where an analog-to-digital converter is monitoring the dc voltage (V_B) of a 12-V storage battery on an orbiting spaceship. The converter’s output is a four-bit binary number, ABCD, corresponding to the battery voltage in steps of 1 V, with A as the MSB. The converter’s binary outputs are fed to a logic circuit that is to produce a HIGH output as long as the binary value is greater than 0110₂ = 6₁₀; that is, the battery voltage is greater than 6 V. Design this logic circuit.

Figure 4-8

Transcribed Image Text:

A BUD Analog- A to- digital converter ABCD E (c) MSB LSB A B C Logic circuit (a) z = A + BCD C) T 2) 3) (T) (5) (D) C (39) 10) (1) 12 (13) 4 15 (7) A 0 (0) DOOP (14) 0 0 0 0 000 BO 0 1 1 0 (11) 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 (15) 1 1 C D 0 0 DO TO OOT 0 1 1 1 0 1 0 0 (b) 0 0 0 0 1 0 1 OTOT OTOT 1 NO OO 0 1 0 0 1 1 0 1 1 0 0 1 1 → ABCD 1→ ABCD 1 → ABCD 1 → ABCD 1 → ABCD 0 0 blooo 0 1→ ABCD 1 → ABCD 1 → ABCD 1→ ABCD