Trace through the decimal addition algorithm of Figure 1.2 using the following input values: m = 3
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Question:
Trace through the decimal addition algorithm of Figure 1.2 using the following input values:
m = 3 a 2 = 1 a 1? = 4 a 0? = 9
b 2 = 0 b 1 = 2 b 0? = 9
At each step, show the values for c 3 , c 2 , c 1 , c 0 , and carry.
Transcribed Image Text:
FIGURE 1.2 Given: m 2 1 and two positive numbers each containing m digits, a a m-1m-S Wanted: CC-1 C... Co where Cm Cm-1 Cm-_₂ .Co = (ªm_1 ªm_ga) + (b__₁b_b₁) Algorithm: Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7 Step 8 Step 9 Set the value of carry to 0 Set the value of i to 0 a and While the value of i is less than or equal to m - 1, repeat the instructions in Steps 4 through 6 Add the two digits a, and b, to the current value of carry to get c If c, ≥ 10, then reset c, to (c, - 10) and reset the value of carry to 1; otherwise, set the new value of carry to 0 Add 1 to i, effectively moving one column to the left Set c_ to the value of carry Print out the final answer, CC-1 C-Co m Stop Algorithm for adding two m-digit numbers FIGURE 1.2 Given: m 2 1 and two positive numbers each containing m digits, a a m-1m-S Wanted: CC-1 C... Co where Cm Cm-1 Cm-_₂ .Co = (ªm_1 ªm_ga) + (b__₁b_b₁) Algorithm: Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7 Step 8 Step 9 Set the value of carry to 0 Set the value of i to 0 a and While the value of i is less than or equal to m - 1, repeat the instructions in Steps 4 through 6 Add the two digits a, and b, to the current value of carry to get c If c, ≥ 10, then reset c, to (c, - 10) and reset the value of carry to 1; otherwise, set the new value of carry to 0 Add 1 to i, effectively moving one column to the left Set c_ to the value of carry Print out the final answer, CC-1 C-Co m Stop Algorithm for adding two m-digit numbers
Expert Answer:
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Given values m 3 a 2 1 a 1 4 a 0 9 b 2 0 b 1 2 b 0 9 We will now follow the same procedure as descri... View the full answer
Related Book For
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
Posted Date:
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