(Solved): Digital logic question     Problem 1. Adder IC (74LS283) The circuit diagram and log ...

Digital logic question

 

 

Problem 1. Adder IC (74LS283) The circuit diagram and logic symbol are on the left and right, respectively. You can read more information about this chip in Adder-74283.pdf. Fig. 1. Logic Symbol for a 4-bit Full Adder Fig 2.IC 74LS283 Pinout with matching logic labels This adder chip is a 4-bit adder, which has 91-bit inputs. The first 1-bit input is the carry in, labeled \( \mathrm{C} \). The next set of 1-bit inputs are a sequence representing the first 4 -bit binary integer, labeled \( A_{3}, A_{2}, A_{1} \), and \( A_{0} \). The last set of 1-bit inputs are a sequence representing the second 4 bit binary integer, labeled \( \mathrm{B}_{3}, \mathrm{~B}_{2}, \mathrm{~B}_{1} \), and \( \mathrm{B}_{0} \). The 4-bit adder also has 51 1-bit outputs. The first 1bit output is the carry out, labeled Cout. A set of 4 1-bit outputs are a sequence representing the sum, \( S_{3}, S_{2}, S_{1} \), and \( S_{0} \). The mathematical equation computed by the 4-bit adder is \( C_{10}+2^{0}\left(A_{0}+B_{0}\right)+2^{1}\left(A_{r}+B_{1}\right)+2^{2}\left(A_{2}+B_{2}\right)+2^{3}\left(A_{s}+B_{3}\right)=2^{0} S_{0}+2^{1} S_{1}+2^{2} S_{2}+2^{3} S_{3}+2^{4} C_{\text {out }} \) Answer the following questions: 1.1 Which pin is Vcc? 1.2 Which pin is GND? 1.3 For input A (same for B and output S), which is the more significant bit, Ao or As? 1.4 Compute \( 8+12 \) using the binary adder using the binary adder logic symbol. Draw an image of the logic symbol, and label the appropriate inputs and outputs with a 1 or a 0 . \( 1.5 \) Compute \( 5+6 \) using the binary adder IC pinout. Draw an image of the IC chip and label the appropriate pins with a 1 and 0 . Include Voc and GND.